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Simplifying 16 + -8(3t + -4) = 8(-2t + 11) Reorder the terms: 16 + -8(-4 + 3t) = 8(-2t + 11) 16 + (-4 * -8 + 3t * -8) = 8(-2t + 11) 16 + (32 + -24t) = 8(-2t + 11) Combine like terms: 16 + 32 = 48 48 + -24t = 8(-2t + 11) Reorder the terms: 48 + -24t = 8(11 + -2t) 48 + -24t = (11 * 8 + -2t * 8) 48 + -24t = (88 + -16t) Solving 48 + -24t = 88 + -16t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '16t' to each side of the equation. 48 + -24t + 16t = 88 + -16t + 16t Combine like terms: -24t + 16t = -8t 48 + -8t = 88 + -16t + 16t Combine like terms: -16t + 16t = 0 48 + -8t = 88 + 0 48 + -8t = 88 Add '-48' to each side of the equation. 48 + -48 + -8t = 88 + -48 Combine like terms: 48 + -48 = 0 0 + -8t = 88 + -48 -8t = 88 + -48 Combine like terms: 88 + -48 = 40 -8t = 40 Divide each side by '-8'. t = -5 Simplifying t = -5
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